Q1 A 700 gm dry fruit packcosts Rs. 216. It contains some almonds and the rest cashew kernel. If almonds cost Rs. 288 per kg and cashew kernel.cost Rs. 336 per kg, what are the quantities of the two dry fruits separately ?
Q2 Drawing pencils cost 80 paise each and coloured pencils cost Rs. 1.10 each. If altogether two dozen pencils cost Rs. 21.60, how many coloured pencils are there ?
Q3 Shikha works in a fact/JPEGory. In one week she earned Rs. 390 for working 47 hours, of which 7 hours were overtime. The next week she earned Rs. 416 for working 50 hours, of which 8 hours were overtime. What is Shikhas hourly earning rate ?
Q4 The sum of the digits of a two digit number is 7. If the digits are reversed, the new number increased by 3 equals 4 times the original number. Find the number.
Q6 Rectangles are drawn on line segments of fixed lengths. When the breadths are 6 m and 5 m respectively the sum of the areas of the rect/JPEGangles is 83 m². But if the breadths are 5 m and 4 m respectively the sum of the areas is 68 m². Find the sum of the areas of the squares drawn on the line segments.
Q7 If the length and the breadth of a room are increased by 1 metre each, the area is increased by 21 square metres. If the length is decreased by 1 metre and the breadth is increased by 2 metres, the area is increased by 14 square metres. Find the perimeter of the room.
Q8 The lenghts (in metres) of the sides of a triangle are 2x + y/2, 5x/3 + y + 1/2 and 2/3 x + 2y + 5/2. If the triangle is equilateral, find its perimeter.
Q9 On Diwali eve, two candles, one of which is 3 cm longer than the other are lighted. The longer one is lighted at 530 p.m. and the shorter at 7 p.m. At 930 p.m. they both are of the same length. The longer one burns out at 1130 p.m. and the shorter one at 11 p.m. How long was each candle originally ?
